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Finding the Fourth Proportional to 31,644.96, 47,471.64 and 11,651.73

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Solution

The fourth proportional to 31,644.96, 47,471.64 and 11,651.73 is: 17,479.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,644.96 : 47,471.64 = 11,651.73 : x
  2. Step 2: Convert to fraction form
    31,644.96/47,471.64 = 11,651.73/x
  3. Step 3: Cross multiply
    31,644.96x = 47,471.64 × 11,651.73
  4. Step 4: Simplify right side
    31,644.96x = 553,126,731.94
  5. Step 5: Solve for x
    x = 553,126,731.94/31,644.96
  6. Step 6: Final answer
    x = 17,479.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.